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a box has a length of 6x inches the width equals one third the length and the height equals half the length. if the volume equals 972 cubic inches, what does x equal will give 100 points and brainly

Respuesta :

QueenOfAttitude

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{gold}{Answer \red{:)}}}}}}}}[/tex]

a box has a length of 6x inches

  • l=6x

the width equals one third the length

  • w=[tex]\sf{\dfrac{1}{3}×6x }[/tex]

  • w=2x

the height equals half the length.

  • h=[tex]\sf{\dfrac{1}{2}×6x }[/tex]

  • h=3x

we know that,

Volume of a rectangle box=l×w×h

According to the question,

if the volume equals 972 cubic inches,

  • l×w×h=volume

  • 6x × 3x × 2x=972

  • 36x^3=972 cubic unit

  • x=972/36

  • x=27

Therefore:-

The value of x is 27.

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